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Completeness is reflected by the Hausdorff hyperspace

If the Hausdorff hyperspace is complete, its closed subspace of singletons is complete. Since that subspace is isometric to the original metric space, the original space is complete as well.

Ancestors (8)

  1. Closed singleton embedding in a Hausdorff hyperspace
  2. Hausdorff distance
  3. Metric space
  4. Topological analysis
  5. Analysis
  6. Area of mathematics
  7. Mathematics
  8. Home

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